Abstract:
Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these quantum-speed-limit (QSL) bounds were derived for nonunitary dynamics using different approaches. Here, we perform a systematic analysis of the most common QSL bounds in the damped Jaynes-Cummings model, covering the Markovian and non-Markovian regimes. We show that only one of the analyzed bounds cleaves to the essence of the QSL theory outlined in the pioneer works of Mandelstam and Tamm and of Margolus and Levitin in the context of unitary evolutions. We also show that all QSL bounds analyzed reflect the fact that in our model non-Markovian effects speed up quantum evolution. However, it is not possible to infer Markovian or non-Markovian behavior of the dynamics by analyzing only the QSL bounds. © 2016 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Quantum-speed-limit bounds in an open quantum evolution |
Autor: | Mirkin, N.; Toscano, F.; Wisniacki, D.A. |
Filiación: | Departamento de Física J. J. Giambiagi, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina Instituto de Física, Universidade Federal Do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, RJ, 21941-972, Brazil Departamento de Física J. J. Giambiagi, IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
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Palabras clave: | Evolution time; Final state; Non-Markovian; Non-Markovian behavior; Non-Markovian effects; Quantum evolution; Speed limit; Systematic analysis; Jaynes-Cummings model |
Año: | 2016
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Volumen: | 94
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Número: | 5
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.94.052125 |
Título revista: | Physical Review A
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Título revista abreviado: | Phys. Rev. A
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ISSN: | 24699926
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n5_p_Mirkin |
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Citas:
---------- APA ----------
Mirkin, N., Toscano, F. & Wisniacki, D.A.
(2016)
. Quantum-speed-limit bounds in an open quantum evolution. Physical Review A, 94(5).
http://dx.doi.org/10.1103/PhysRevA.94.052125---------- CHICAGO ----------
Mirkin, N., Toscano, F., Wisniacki, D.A.
"Quantum-speed-limit bounds in an open quantum evolution"
. Physical Review A 94, no. 5
(2016).
http://dx.doi.org/10.1103/PhysRevA.94.052125---------- MLA ----------
Mirkin, N., Toscano, F., Wisniacki, D.A.
"Quantum-speed-limit bounds in an open quantum evolution"
. Physical Review A, vol. 94, no. 5, 2016.
http://dx.doi.org/10.1103/PhysRevA.94.052125---------- VANCOUVER ----------
Mirkin, N., Toscano, F., Wisniacki, D.A. Quantum-speed-limit bounds in an open quantum evolution. Phys. Rev. A. 2016;94(5).
http://dx.doi.org/10.1103/PhysRevA.94.052125